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地基变形计算的修正Flamant解
引用本文:王华宁, 宋飞, 刘芳. 地基变形计算的修正Flamant解[J]. 力学与实践, 2017, 39(3): 274-279. doi: 10.6052/1000-0879-16-325
作者姓名:王华宁  宋飞  刘芳
作者单位:1. 同济大学航空航天与力学学院, 上海 200092; 2. 同济大学土木工程学院地下建筑与工程系, 上海 200092
基金项目:国家自然科学基金(11572228),同济大学2015-2016年教学改革研究与建设资助项目
摘    要:针对地表分布载荷作用下地基变形的半平面问题,利用对称化方法对Flamant位移解答进行修正,得到有限深度底部光滑刚性支撑的地基位移的精确解.该解与相同条件下的有限元数值计算结果基本一致.修正解与原解的对比表明,两者差异较大;但当基点距离载荷较近时,两者所得到的地表附近的相对沉陷分布形式和大小差别不大.

关 键 词:地基沉陷   半无限平面   Flamant解答
收稿时间:2016-10-09
修稿时间:2017-02-10

MODIFIED FLAMANT'S SOLUTION FOR FOUNDATION DEFORMATION
WANG Huaning, SONG Fei, LIU Fang. Modified Flamant's solution for foundation deformation[J]. Mechanics in Engineering, 2017, 39(3): 274-279. doi: 10.6052/1000-0879-16-325
Authors:WANG Huaning  SONG Fei  LIU Fang
Affiliation:1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China; 2. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China
Abstract:The Flamant solution is improved through a symmetric treatment to obtain accurate displacement fields of a rigid foundation with a frictionless base subjected to uniformly distributed loads. The modified version of the Flamant solution gives results in good agreement with the results obtained by the finite element simulation. It is shown that the original and modified Flamant solutions provide different horizontal and vertical displacements. However, both solutions give similar magnitudes and spatial patterns of the relative settlements when the zero-displacement-point is near the region where the loads are applied.
Keywords:foundation settlement  semi-infinite plane  flamant solutions
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